Mathematical logic and foundations Definition

Negation

Definition

Let $p$ be a proposition. The negation of $p$ is the proposition $\neg p$ , read "not $p$ ". The proposition $\neg p$ is true when $p$ is false, and $\neg p$ is false when $p$ is true.

$p$	$\neg p$
T	F
F	T

Remarks

Other notations for $\neg p$ are $\sim p$ and $\overline{p}$ . In classical logic, $\neg \neg p$ has the same truth value as $p$ . This is the double negation law.

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Proposition concept
Negation definition

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Tag	`0XR7A7RSXB`
URI	`m2://0XR7A7RSXB`
Kind	definition
Writing	W1 stated
MSC	03B05
Defines	Negation
Uses	Proposition

Negation

Definition

Remarks

Reading path

Where this leads

Further reading

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